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Simplifying x4 + (2 + -1k2) * x2 + -2k2 = 0 Reorder the terms for easier multiplication: x4 + x2(2 + -1k2) + -2k2 = 0 x4 + (2 * x2 + -1k2 * x2) + -2k2 = 0 Reorder the terms: x4 + (-1k2x2 + 2x2) + -2k2 = 0 x4 + (-1k2x2 + 2x2) + -2k2 = 0 Reorder the terms: -2k2 + -1k2x2 + 2x2 + x4 = 0 Solving -2k2 + -1k2x2 + 2x2 + x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2x2' to each side of the equation. -2k2 + -1k2x2 + 2x2 + -2x2 + x4 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2k2 + -1k2x2 + 0 + x4 = 0 + -2x2 -2k2 + -1k2x2 + x4 = 0 + -2x2 Remove the zero: -2k2 + -1k2x2 + x4 = -2x2 Add '-1x4' to each side of the equation. -2k2 + -1k2x2 + x4 + -1x4 = -2x2 + -1x4 Combine like terms: x4 + -1x4 = 0 -2k2 + -1k2x2 + 0 = -2x2 + -1x4 -2k2 + -1k2x2 = -2x2 + -1x4 Reorder the terms: -2k2 + -1k2x2 + 2x2 + x4 = -2x2 + 2x2 + -1x4 + x4 Combine like terms: -2x2 + 2x2 = 0 -2k2 + -1k2x2 + 2x2 + x4 = 0 + -1x4 + x4 -2k2 + -1k2x2 + 2x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 -2k2 + -1k2x2 + 2x2 + x4 = 0 The solution to this equation could not be determined.
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